Simplify the expression to a+bi form: sqrt49-sqrt(-200)+sqrt81+sqrt(-128) Answer:

Given expression: Given expression: sqrt49-sqrt(-200)+sqrt81+sqrt(-128) Express the expression using i for the square roots of negative numbers. sqrt49-sqrt(-200)+sqrt81+sqrt(-128) = sqrt49 - sqrt(200)i + sqrt81 + sqrt(128)iExpress using i: Simplify the square roots of the positive numbers and express the square roots of the negative numbers in terms of i. sqrt49 - sqrt(200)i + sqrt81 + sqrt(128)i = 7 - 10sqrt(2)i + 9 + 8sqrt(2)iSimplify and combine: Combine like terms to get the expression in a+bi form. 7 - 10sqrt(2)i + 9 + 8sqrt(2)i = (7 + 9) + (-10sqrt(2)i + 8sqrt(2)i) = 16 - 2sqrt(2)i

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Simplify the expression to
a+bi form:

sqrt49-sqrt(-200)+sqrt81+sqrt(-128)
Answer:

Simplify the expression to $a+b i$ form: $\newline$ $\sqrt{49}-\sqrt{-200}+\sqrt{81}+\sqrt{-128}$ $\newline$ Answer:

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Algebra 2

Simplify the expression using imaginary number i

Full solution

Q. Simplify the expression to

a+b i

form:

\newline

\sqrt{49}-\sqrt{-200}+\sqrt{81}+\sqrt{-128}

\newline

Answer:

Given expression: Given expression: $\newline$ $\sqrt{49}-\sqrt{-200}+\sqrt{81}+\sqrt{-128}$ $\newline$ Express the expression using $i$ for the square roots of negative numbers. $\newline$ $\sqrt{49}-\sqrt{200}i+\sqrt{81}+\sqrt{128}i$
Express using $i$ : Simplify the square roots of the positive numbers and express the square roots of the negative numbers in terms of $i$ .
$\sqrt{49} - \sqrt{200}i + \sqrt{81} + \sqrt{128}i$
= $7 - 10\sqrt{2}i + 9 + 8\sqrt{2}i$
Simplify and combine: Combine like terms to get the expression in $a+bi$ form. $7 - 10\sqrt{2}i + 9 + 8\sqrt{2}i$ $= (7 + 9) + (-10\sqrt{2}i + 8\sqrt{2}i)$ $= 16 - 2\sqrt{2}i$